Question

The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hour completes one round in 8 minutes, then the area of the park is

• A. 153650
• B. 135600
• C. 153600
• D. 156300

Answer 1

Answer:

C. 153600

Solution:

Distance covered in 8 minutes, with the speed 12 km/hr = 12 × 5/18 × 8 × 60 = 1600 m

Ratio of length to breadth of rectangular park = 3x : 2x

Perimeter of the park = 2 (3x + 2x)

⇒ 2 (3x + 2x) = 1600

⇒ 5x = 1600/2

⇒ x = 800/5

⇒ x = 160

Area of the park = 3x × 2x = 6x² = 6 × 160 × 160 = 153600 m²